89477120 has 104 divisors (see below), whose sum is σ = 228234024. Its totient is φ = 33554432.

The previous prime is 89477117. The next prime is 89477131. The reversal of 89477120 is 2177498.

It can be written as a sum of positive squares in 4 ways, for example, as 46022656 + 43454464 = 6784^2 + 6592^2 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 89477120 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348032 + ... + 348288.

Almost surely, 2^89477120 is an apocalyptic number.

89477120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114117012).

89477120 is an abundant number, since it is smaller than the sum of its proper divisors (138756904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89477120 is a wasteful number, since it uses less digits than its factorization.

89477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 89477120 is about 9459.2346413439. The cubic root of 89477120 is about 447.2709229843.

The spelling of 89477120 in words is "eighty-nine million, four hundred seventy-seven thousand, one hundred twenty".